Sciweavers

524 search results - page 4 / 105
» On the Maximum Number of Cliques in a Graph
Sort
View
DM
2008
145views more  DM 2008»
13 years 7 months ago
Clique coverings and partitions of line graphs
A clique in a graph G is a complete subgraph of G. A clique covering (partition) of G is a collection C of cliques such that each edge of G occurs in at least (exactly) one clique...
Bo-Jr Li, Gerard J. Chang
IPPS
1998
IEEE
13 years 11 months ago
Solving the Maximum Clique Problem Using PUBB
Given an (undirected) graph G = V; E; a clique of G is a subset of vertices in which every pair is connected by an edge. The problem of finding a clique of maximum size is a class...
Yuji Shinano, Tetsuya Fujie, Yoshiko Ikebe, Ryuich...
WEA
2009
Springer
123views Algorithms» more  WEA 2009»
14 years 2 months ago
Algorithms and Experiments for Clique Relaxations-Finding Maximum s-Plexes
We propose new practical algorithms to find degree-relaxed variants of cliques called s-plexes. An s-plex denotes a vertex subset in a graph inducing a subgraph where every vertex...
Hannes Moser, Rolf Niedermeier, Manuel Sorge
DM
2006
124views more  DM 2006»
13 years 7 months ago
Hall ratio of the Mycielski graphs
Let n(G) denote the number of vertices of a graph G and let (G) be the independence number of G, the maximum number of pairwise nonadjacent vertices of G. The Hall ratio of a grap...
Mathew Cropper, András Gyárfá...
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
13 years 7 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...